Toward a Nonequilibrium Green functions approach to diffusion in strongly coupled finite quantum systems

TL;DR

This paper develops a Nonequilibrium Green Functions method using a lattice model to study diffusion in strongly correlated finite quantum systems, capturing inhomogeneity and initial nonequilibrium states.

Contribution

It introduces a novel approach combining Nonequilibrium Green Functions with T-matrix selfenergies for finite, inhomogeneous quantum systems.

Findings

Successfully models diffusion in strongly correlated systems

Handles arbitrary nonequilibrium initial states

Incorporates strong correlations via T-matrix selfenergies

Abstract

Transport properties of strongly correlated quantum systems are of central interest in condensed matter, ultracold atoms and in dense plasmas. There, the proper treatment of strong correlations poses a great challenge to theory. Here, we apply a Nonequilibrium Green Functions approach using a lattice model as a basic system. This allow us to treat a finite spatially inhomogeneous system with an arbitrary nonequilibrium initial state. Placing all particles initially to one side of the system allows for a nonequilibrium study of diffusion. Strong correlation effects are incorporated via T-matrix selfenergies.